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The fractional diffusion equation. (English) Zbl 0632.35031
In one space - and in one time-dimension a diffusion equation is solved, where the first time derivative is replaced by the λ-fractional time derivative, 0<λ1. The solution is given in closed form interms of Fox functions.
MSC:
35K57Reaction-diffusion equations
26A24Differentiation of functions of one real variable
35C05Solutions of PDE in closed form